Question

Use your equation to determine the temperature at an altitud of 5000 feet. altitude (ft), x 4000 6000 Temp (°F), y 43 35

Answer 1

The form of the equation is

y = m x + b

m is the rate of change

b is the initial value

$m=\frac{\Delta y}{\Delta x}$

let us use the data in the table to find m

$m=\frac{43-35}{4000-6000}=\frac{8}{-2000}=-\frac{1}{250}$

Substitute it in the form of the equation above

$y=-\frac{1}{250}x+b$

To find b substitute x by 4000 and y by 43

$\begin{gathered} 43=-\frac{1}{250}(4000)+b \\ 43=-16+b \\ 43+16=-16+16+b \\ 59=b \end{gathered}$

Substitute it in the equation

$y=-\frac{1}{250}x+59$

Now substitute h by 5000 to find F

$\begin{gathered} y=-\frac{1}{250}(5000)+59 \\ y=-20+59 \\ y=39 \end{gathered}$

The temperature at altitude 5000 feet is 39 F

The answer is 39